What is the Least Common Multiple of 56152 and 56172?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 56152 and 56172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56152 and 56172, than apply into the LCM equation.

GCF(56152,56172) = 4
LCM(56152,56172) = ( 56152 × 56172) / 4
LCM(56152,56172) = 3154170144 / 4
LCM(56152,56172) = 788542536

Least Common Multiple (LCM) of 56152 and 56172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56152 and 56172. First we will calculate the prime factors of 56152 and 56172.

Prime Factorization of 56152

Prime Factorization of 56172

Now multiplying the highest exponent prime factors to calculate the LCM of 56152 and 56172.

LCM(56152,56172) = 2³ × 7019¹ × 3¹ × 31¹ × 151¹
LCM(56152,56172) = 788542536